Hidden attractors and nonlocal oscillations in gene networks models

Vladimir P. Golubyatnikov,Natalia B. Ayupova, Natalia E. Bondarenko, Alina V. Glubokikh

RUSSIAN JOURNAL OF NUMERICAL ANALYSIS AND MATHEMATICAL MODELLING（2024）

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摘要

We study periodic trajectories of nonlinear dynamical systems considered as models of the simplest molecular repressilator. In the phase portraits of these systems, we find hidden attractors and nonlocal oscillations. The cases of nonuniqueness of cycles in these portraits are described as well.

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关键词

Phase portraits,multi-step functions,periodic trajectories,equilibrium points,hidden attractors,nonlocal oscillations,gene network models

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